arXiv:math-ph/0407019 · Modern Physics Letters A

PARASUPERSYMMETRIC QUANTUM MECHANICS OF ORDER THREE AND A GENERALIZED WITTEN INDEX

Marko Stošić, ROGER PICKEN

Published Jun 14, 2005• 4 citations

Abstract

In this paper we generalize the Rubakov-Spiridonov parasupersymmetry algebra to the order three case. We also generalize the notion of the Witten index, and we provide a class of models satisfying our parasupersymmetry algebra. Finally, we show that there is a correspondence between the Hamiltonian and the index in our class of models.

DOI: 10.1142/s0217732305017846

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